Your browser does not fully support modern features. Please upgrade for a smoother experience.
Submitted Successfully!
Thank you for your contribution! You can also upload a video entry or images related to this topic. For video creation, please contact our Academic Video Service.
Version Summary Created by Modification Content Size Created at Operation
1 handwiki Dean Liu -- 1690 2022-11-23 01:44:07

Video Upload Options

We provide professional Academic Video Service to translate complex research into visually appealing presentations. Would you like to try it?
No, upload directly Yes
Cite
If you have any further questions, please contact Encyclopedia Editorial Office.
HandWiki. Pareto-Efficient Envy-Free Division. Encyclopedia. Available online: https://encyclopedia.pub/entry/35976 (accessed on 03 October 2026).
HandWiki. Pareto-Efficient Envy-Free Division. Encyclopedia. Available at: https://encyclopedia.pub/entry/35976. Accessed October 03, 2026.
HandWiki. "Pareto-Efficient Envy-Free Division" Encyclopedia, https://encyclopedia.pub/entry/35976 (accessed October 03, 2026).
HandWiki. (2022, November 23). Pareto-Efficient Envy-Free Division. In Encyclopedia. https://encyclopedia.pub/entry/35976
HandWiki. "Pareto-Efficient Envy-Free Division." Encyclopedia. Web. 23 November, 2022.
Pareto-Efficient Envy-Free Division
Edit
The content is sourced from: https://handwiki.org/wiki/Social:Pareto-efficient_envy-free_division

Efficiency and fairness are two major goals of welfare economics. Given a set of resources and a set of agents, the goal is to divide the resources among the agents in a way that is both Pareto efficient (PE) and envy-free (EF). The goal was first defined by David Schmeidler and Menahem Yaari. Later, the existence of such allocations has been proved under various conditions.

fairness efficiency welfare

References

  1. Hal Varian (1974). "Equity, envy, and efficiency". Journal of Economic Theory 9: 63–91. doi:10.1016/0022-0531(74)90075-1.  https://dx.doi.org/10.1016%2F0022-0531%2874%2990075-1
  2. Note that a similar economy appears in the 1974 paper:70 as an example that a PEEF allocation does not exist. This is probably a typo - the "min" should be "max", as in example C below. See this economics stack-exchange thread. http://economics.stackexchange.com/q/9494/385
  3. Svensson, Lars-Gunnar (1983-09-01). "On the existence of fair allocations" (in en). Zeitschrift für Nationalökonomie 43 (3): 301–308. doi:10.1007/BF01283577. ISSN 0044-3158.  https://dx.doi.org/10.1007%2FBF01283577
  4. Diamantaras, Dimitrios (1992-06-01). "On equity with public goods" (in en). Social Choice and Welfare 9 (2): 141–157. doi:10.1007/BF00187239. ISSN 0176-1714.  https://dx.doi.org/10.1007%2FBF00187239
  5. Eilenberg, Samuel; Montgomery, Deane (1946). "Fixed Point Theorems for Multi-Valued Transformations". American Journal of Mathematics 68 (2): 214–222. doi:10.2307/2371832.  https://dx.doi.org/10.2307%2F2371832
  6. Svensson, Lars-Gunnar (1994). "σ-Optimality and Fairness". International Economic Review 35 (2): 527–531. doi:10.2307/2527068.  https://dx.doi.org/10.2307%2F2527068
  7. Vohra, Rajiv (1992-07-01). "Equity and efficiency in non-convex economies" (in en). Social Choice and Welfare 9 (3): 185–202. doi:10.1007/BF00192877. ISSN 0176-1714.  https://dx.doi.org/10.1007%2FBF00192877
  8. Maniquet, François (1999-12-01). "A strong incompatibility between efficiency and equity in non-convex economies" (in en). Journal of Mathematical Economics 32 (4): 467–474. doi:10.1016/S0304-4068(98)00067-6. ISSN 0304-4068.  https://dx.doi.org/10.1016%2FS0304-4068%2898%2900067-6
  9. Segal-Halevi, Erel; Sziklai, Balázs R. (2018-05-26). "Monotonicity and competitive equilibrium in cake-cutting" (in en). Economic Theory 68 (2): 363–401. doi:10.1007/s00199-018-1128-6. ISSN 1432-0479.  https://dx.doi.org/10.1007%2Fs00199-018-1128-6
More
©Text is available under the terms and conditions of the Creative Commons-Attribution ShareAlike (CC BY-SA) license; additional terms may apply. By using this site, you agree to the Terms and Conditions and Privacy Policy.
Upload a video for this entry
Information
Subjects: Economics
Contributor MDPI registered users' name will be linked to their SciProfiles pages. To register with us, please refer to https://encyclopedia.pub/register :
HandWiki
View Times: 780
Entry Collection: HandWiki
Revision: 1 time (View History)
Update Date: 23 Nov 2022
Table of Contents
    Notice
    You are not a member of the advisory board for this topic. If you want to update advisory board member profile, please contact office@encyclopedia.pub.
    OK
    Confirm
    Only members of the Encyclopedia advisory board for this topic are allowed to note entries. Would you like to become an advisory board member of the Encyclopedia?
    Yes
    No
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    There is no comment~
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    ${ selectedItem.replyTextCharacter }/${ selectedItem.replyMaxCharacter }
    Submit
    Cancel
    Confirm
    Are you sure to Delete?
    Yes No
    Academic Video Service
    Feedback